document.write( "Question 974641: Evaluate log 4 base 1/2 \n" ); document.write( "

Algebra.Com's Answer #596504 by Alan3354(69443) $\"\"$ $\"About$

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Evaluate log 4 base 1/2
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\n" ); document.write( " $\"log%280.5%2C4%29\"$
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\n" ); document.write( "You can always use the base change formula:
\n" ); document.write( " $\"log%28b%2Ca%29+=+log%28a%29%2Flog%28b%29\"$
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\n" ); document.write( " $\"log%280.5%2C4%29+=+log%284%29%2Flog%281%2F2%29\"$
\n" ); document.write( "= -2
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\n" ); document.write( "You might recognize that $\"1%2F2+=+2%5E-1\"$
\n" ); document.write( "and $\"4+=+2%5E2\"$
\n" ); document.write( "--> $\"%282%5E%28-1%29%29%5Ex+=+2%5E2\"$
\n" ); document.write( " $\"2%5E%28-x%29+=+2%5E2\"$
\n" ); document.write( "x = -2
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